What is the Least Common Multiple of 36789 and 36807?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 36789 and 36807 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36789 and 36807, than apply into the LCM equation.

GCF(36789,36807) = 3
LCM(36789,36807) = ( 36789 × 36807) / 3
LCM(36789,36807) = 1354092723 / 3
LCM(36789,36807) = 451364241

Least Common Multiple (LCM) of 36789 and 36807 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36789 and 36807. First we will calculate the prime factors of 36789 and 36807.

Prime Factorization of 36789

Prime Factorization of 36807

Now multiplying the highest exponent prime factors to calculate the LCM of 36789 and 36807.

LCM(36789,36807) = 3¹ × 12263¹ × 12269¹
LCM(36789,36807) = 451364241